Issolvi -5x/x-y/frac{y{x^2}}

$$\frac { \frac { - 5 x } { x - y } } { \frac { y } { x ^ { 2 } } }$$

Evalwa

$$-\frac{5x^{3}}{y\left(x-y\right)}$$

Passi Qosra tas-Soluzzjonijiet

Iddividi \frac{-5x}{x-y} b'\frac{y}{x^{2}} billi timmultiplika \frac{-5x}{x-y} bir-reċiproku ta' \frac{y}{x^{2}}.

$$\frac{-5xx^{2}}{\left(x-y\right)y}$$

Biex timmultiplika l-qawwa tal-istess bażi, żid l-esponenti tagħhom. Żid 1 u 2 biex tikseb 3.

$$\frac{-5x^{3}}{\left(x-y\right)y}$$

Uża l-propjetà distributtiva biex timmultiplika x-y b'y.

$$\frac{-5x^{3}}{xy-y^{2}}$$

Iddifferenzja w.r.t. x

$$\frac{5\times \left(\frac{x}{x-y}\right)^{2}\left(3y-2x\right)}{y}$$